6005106048 has 64 divisors (see below), whose sum is σ = 16007716800. Its totient is φ = 1994592768.

The previous prime is 6005106013. The next prime is 6005106059. The reversal of 6005106048 is 8406015006.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6005106048² = 72122597295452356608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81043 + ... + 136301.

It is an arithmetic number, because the mean of its divisors is an integer number (250120575).

Almost surely, 2^6005106048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6005106048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003858400).

6005106048 is an abundant number, since it is smaller than the sum of its proper divisors (10002610752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6005106048 is a wasteful number, since it uses less digits than its factorization.

6005106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55559 (or 55547 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6005106048 is about 77492.6193130675. The cubic root of 6005106048 is about 1817.6359080678.

The spelling of 6005106048 in words is "six billion, five million, one hundred six thousand, forty-eight".